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Attend this mathematical seminar exploring the fascinating intersection of algebraic geometry, abelian varieties, and exceptional Lie groups through the lens of Coble and Göpel varieties. Discover how A. Coble's peculiar hypersurfaces from around 1880 exhibit unusual properties with respect to abelian varieties of small dimension and their connections to moduli spaces of bundles on curves of low genus. Learn about Göpel varieties as moduli spaces of Coble hypersurfaces and understand their relationship to exceptional Lie groups through Vinberg's theory and gradings of Lie algebras. Explore generalizations of these classical constructions via orbital degeneracy loci, based on ongoing research with V. Benedetti, M. Bolognesi, and L. Manivel. Gain insights into advanced topics in algebraic geometry including moduli theory, vector bundles on curves, and the geometric applications of Lie theory in this specialized mathematical presentation delivered as part of the Brazilian Algebraic Geometry Seminar series.
